Pre-Algebra Examples

$\frac{- 34}{n} \div \frac{- 51}{n}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{- 34}{n} \cdot \frac{n}{- 51}$

Step 2

Cancel the common factor of $17$ .

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Step 2.1

Factor $17$ out of $- 34$ .

$\frac{17 (- 2)}{n} \cdot \frac{n}{- 51}$

Step 2.2

Factor $17$ out of $- 51$ .

$\frac{17 \cdot - 2}{n} \cdot \frac{n}{17 \cdot - 3}$

Step 2.3

Cancel the common factor.

$\frac{17 \cdot - 2}{n} \cdot \frac{n}{17 \cdot - 3}$

Step 2.4

Rewrite the expression.

$\frac{- 2}{n} \cdot \frac{n}{- 3}$

Step 3

Cancel the common factor of $n$ .

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Step 3.1

Cancel the common factor.

$\frac{- 2}{n} \cdot \frac{n}{- 3}$

Step 3.2

Rewrite the expression.

$- 2 (\frac{1}{- 3})$

Step 4

Combine $- 2$ and $\frac{1}{- 3}$ .

$\frac{- 2}{- 3}$

Step 5

Dividing two negative values results in a positive value.

$\frac{2}{3}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{2}{3}$

Decimal Form:

$0.\overline{6}$